{"title":"Event-based optimization for the continuous-time Markov systems","authors":"Fang Cao, Xi-Ren Cao","doi":"10.14711/thesis-b1029341","DOIUrl":"https://doi.org/10.14711/thesis-b1029341","url":null,"abstract":"Performance optimization plays an important role in both applied and theoretical research. Recent research provides a unified view, with which the main results in many different areas can be derived or explained using two foundational sensitivities equations. With this approach, event-based optimization has been proposed to overcome the difficulties that the traditional approaches could not solve. However, most of the previous results are on discrete-time Markov systems. In the real world, many practical problems require the model of the continuous-time Markov systems. This paper focuses on extending the event-based optimization approach to the continuous-time Markov systems. As any Markov process can be viewed as a GSMP, we first give a standard description on the GSMP model and then slightly modify it to fit our problem setting. Compared with the event-based optimization with the discrete-time model, in the continuous-time case, in addition to control the probabilities of the controllable events, we need also control the rates of the triggerable events. The final result keeps as intuitive as that for the discrete-time Markov systems, and provides a natural framework for studying the event-based optimization problems.","PeriodicalId":225116,"journal":{"name":"2011 8th Asian Control Conference (ASCC)","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132130233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Continuous-time generalized minimum variance control with double controller","authors":"M. Doi, Y. Mori","doi":"10.1541/IEEJEISS.133.994","DOIUrl":"https://doi.org/10.1541/IEEJEISS.133.994","url":null,"abstract":"This research aims at the proposal and the consideration of the design method that makes Continuous-time Generalized Minimum Variance Control (CGMVC) two degree of freedom system. Because CGMVC is one degree of freedom system, the setpoint response and the disturbance rejection cannot be optimized at the same time. Then, double controller structure is used for CGMVC. Double controller is the method where two degree of freedom system can be achieved by using the structure of Smith predictor. As a result, the setpoint response and the disturbance rejection can be independently designed. The effectiveness of the double controller is shown by the numerical example.","PeriodicalId":225116,"journal":{"name":"2011 8th Asian Control Conference (ASCC)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126329823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"“Staircase phenomenon” in delay-independently stable networked control system's dynamic response: Discrete-time case","authors":"Song Fang, Ning Li, Shaoyuan Li","doi":"10.1049/IET-CTA.2009.0614","DOIUrl":"https://doi.org/10.1049/IET-CTA.2009.0614","url":null,"abstract":"This paper mainly deals with the issue of “staircase phenomenon” of delay-independently stable networked control systems (NCSs). There already exist works on this topic in continuous-time domain, this paper extends the former result and deals with the more realistic discrete-time case. The definition of “staircase phenomenon” is given at first and the reason is analyzed. Then it is proven that if a NCS with traditional feedback structure is delay-independently stable, then “staircase phenomenon” in its dynamic response cannot be eliminated. This paper proceeds to prove that if a NCS which is delay-independently stable is introduced with scattering transformation, then its steady state error and “staircase phenomenon” in its dynamic response can be eliminated altogether by tuning the parameter of the transformation.","PeriodicalId":225116,"journal":{"name":"2011 8th Asian Control Conference (ASCC)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121140859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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